The numerical method for the moving boundary problem with space-fractional derivative in drug release devices

In this paper, an anomalous diffusion model related to the release of a dispersed solution from the planar polymer matrix is presented and the boundary immobilization (BIM) technique based on the explicit finite difference is employed to solve the space-fractional differential equations with a moving boundary condition. It is shown that the numerical results are in good agreement with the scale-invariant solutions obtained previously. Then, effect of the parameter in the consider equations on the anomalous diffusion is analyzed and results are displayed in a table. The proposed method can be developed for different situations to calculate moving boundary problems with space-fractional derivative.